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Finding the Fourth Proportional to 87,211, 130,836 and 31,807

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Solution

The fourth proportional to 87,211, 130,836 and 31,807 is: 47,717.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,211 : 130,836 = 31,807 : x
  2. Step 2: Convert to fraction form
    87,211/130,836 = 31,807/x
  3. Step 3: Cross multiply
    87,211x = 130,836 × 31,807
  4. Step 4: Simplify right side
    87,211x = 4,161,500,652
  5. Step 5: Solve for x
    x = 4,161,500,652/87,211
  6. Step 6: Final answer
    x = 47,717.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.